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Operator-theoretical analysis of representation of a supersymmetry algebra in Hilbert space
| Title: | Operator-theoretical analysis of representation of a supersymmetry algebra in Hilbert space |
| Authors: | Arai, A. Browse this author |
| Issue Date: | 1-Nov-1994 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 269 |
| Start Page: | 2 |
| End Page: | 12 |
| Abstract: | Operator-theoretical analysis is made on ( unbounded) representations, in Hilbert spaces, of a supersymmetry (SUSY) algebra coming from a supersymmetric quantum field theory in two-dimensional space-time. A basic idea for the analysis is to apply the theory of strongly anticommuting self-adjoint operators. A theorem on integrability of a representation of the SUSY algebra is established. 1foreover, it is shown that strong anticommutativity of self-adjoint operators is a natural and suitable concept in analyzing representations of the SUSY algebra in Hilbert spaces. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69020 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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